Statistics Tool

Frequency Distribution Calculator – Build Value-Frequency Tables

Enter a frequency table or grouped data and instantly calculate mean, median, mode, and range! Fast, step-by-step, and perfect for stats homework and practical analysis.

Last updated: October 30, 2025

Easy value/frequency entry, grouped and raw data
Shows all steps + table for full transparency
For students, teachers, and analysts – all devices

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Frequency Distribution Calculator
Compute mean, median, mode, and range for a frequency distribution.
Value
Frequency

How to Use:

  • • Each row: enter a value and its frequency
  • • Click "+ Add Row" to add more values
  • • Mean = weighted average, Median = middle of expanded data, Mode = most frequent value, Range = highest - lowest
  • • Frequencies must be positive integers

Example Frequency Distribution & Result

Value: 2, Frequency: 3
Value: 5, Frequency: 2
Value: 10, Frequency: 1

Mean

4.00

Median

2

How Our Frequency Distribution Calculator Works

The calculator expands your value-frequency data into a full set, then computes mean, median, mode, and range. You can analyze discrete, grouped, and classed datasets instantly. It's ideal for stats, probability, and practical analytics.

Calculation Steps

Mean = Σ(value × frequency) / Σfrequency
Median = value at middle position (expanded data)
Mode = most frequent value(s)
Range = max − min (expanded data)

For grouped data, use class midpoints. The calculator will show a complete frequency table and breakdown.

🔢 Frequency Table Breakdown

Shows each value, frequency, and computed statistic.

References & Sources

Frequency Distribution Calculator Example

Frequency Distribution Calculator Example
Calculate statistics for value-frequency set: 1, 2, 2, 5 (frequencies 1,2,1)

Data Table:

  • Value: 1 – Frequency: 1
  • Value: 2 – Frequency: 2
  • Value: 5 – Frequency: 1

Calculation Steps:

  1. Mean = (1×1 + 2×2 + 5×1) / (1+2+1) = 10/4 = 2.5
  2. Median = (middle) = 2
  3. Mode = 2 (highest frequency)
  4. Range = 5 - 1 = 4

Result: Mean = 2.5, Median = 2, Mode = 2, Range = 4

Frequently Asked Questions

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Frequency Distribution Calculator - Step-by-Step Statistics Tool